ywkang ae131aa2af report(S5.2): explain why dense mapping wins throughput (per-PE efficiency) ...

Both 1-kv (2 users x 64 PE) and 8-kv (16 users x 8 PE) fill all 128 PEs of
the SIP; the throughput gap is per-PE HBM efficiency. Splitting a head over
8 PEs leaves each a single tile, so pipeline-fill and the 8-PE softmax
reduce dominate -> 46% HBM util; one head per PE streams contiguously with
no reduce -> 76%. Throughput ratio (1.6x) tracks the utilization ratio
(1.7x): decode is bandwidth-bound, so throughput follows total HBM
efficiency, not PE count. 1-kv spends hardware on latency (8 PE/head for a
4.8x speedup = 60% strong-scaling efficiency).

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

2026-07-22 17:46:54 -07:00

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